2 answers:
Answer:
D
Step-by-step explanation:
To find the length of board subtract the piece cut from the length of board
- ![\frac{3}{x+2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%2B2%7D)
Before subtracting the fractions we require them to have a common denominator.
Multiply the numerator/denominator of the first fraction by (x + 2)
Multiply the numerator/denominator of the second fraction by (x - 2)
=
- ![\frac{3(x-2)}{(x-2)(x+2)}](https://tex.z-dn.net/?f=%5Cfrac%7B3%28x-2%29%7D%7B%28x-2%29%28x%2B2%29%7D)
Distribute the numerators leaving the denominator
=
= ![\frac{4x+20}{(x-2)(x+2)}](https://tex.z-dn.net/?f=%5Cfrac%7B4x%2B20%7D%7B%28x-2%29%28x%2B2%29%7D)
<h2>
Answer:</h2>
<u>The correct option is</u><u> D</u>
<h2>
Step-by-step explanation:</h2>
See the attached image for solution
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